Math 2.0

Convex and discrete geometry Tilings Concept

Periodic tiling

Summary

A periodic tiling is a tessellation of ℝn\R^n that is carried onto itself by translations in nn independent directions. Such a tiling is determined by a finite patch repeated along a lattice. The symmetries of periodic patterns are described by crystallographic groups. Tilings that admit no period lead to the theory of aperiodic sets of prototiles.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Tessellation
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MSC52C20, 52C22, 05B45
SpecializesTessellation

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